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Simplifying (X + 2y) * and(2x + 3y) = 0 Reorder the terms for easier multiplication: adn(X + 2y)(2x + 3y) = 0 Multiply (X + 2y) * (2x + 3y) adn(X(2x + 3y) + 2y * (2x + 3y)) = 0 adn((2x * X + 3y * X) + 2y * (2x + 3y)) = 0 adn((2xX + 3yX) + 2y * (2x + 3y)) = 0 adn(2xX + 3yX + (2x * 2y + 3y * 2y)) = 0 adn(2xX + 3yX + (4xy + 6y2)) = 0 Reorder the terms: adn(2xX + 4xy + 3yX + 6y2) = 0 adn(2xX + 4xy + 3yX + 6y2) = 0 (2xX * adn + 4xy * adn + 3yX * adn + 6y2 * adn) = 0 (2adnxX + 4adnxy + 3adnyX + 6adny2) = 0 Solving 2adnxX + 4adnxy + 3adnyX + 6adny2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'adn'. adn(2xX + 4xy + 3yX + 6y2) = 0Subproblem 1
Set the factor 'adn' equal to zero and attempt to solve: Simplifying adn = 0 Solving adn = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adn = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2xX + 4xy + 3yX + 6y2)' equal to zero and attempt to solve: Simplifying 2xX + 4xy + 3yX + 6y2 = 0 Solving 2xX + 4xy + 3yX + 6y2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2xX' to each side of the equation. 2xX + 4xy + 3yX + -2xX + 6y2 = 0 + -2xX Reorder the terms: 2xX + -2xX + 4xy + 3yX + 6y2 = 0 + -2xX Combine like terms: 2xX + -2xX = 0 0 + 4xy + 3yX + 6y2 = 0 + -2xX 4xy + 3yX + 6y2 = 0 + -2xX Remove the zero: 4xy + 3yX + 6y2 = -2xX Add '-4xy' to each side of the equation. 4xy + 3yX + -4xy + 6y2 = -2xX + -4xy Reorder the terms: 4xy + -4xy + 3yX + 6y2 = -2xX + -4xy Combine like terms: 4xy + -4xy = 0 0 + 3yX + 6y2 = -2xX + -4xy 3yX + 6y2 = -2xX + -4xy Add '-3yX' to each side of the equation. 3yX + -3yX + 6y2 = -2xX + -4xy + -3yX Combine like terms: 3yX + -3yX = 0 0 + 6y2 = -2xX + -4xy + -3yX 6y2 = -2xX + -4xy + -3yX Add '-6y2' to each side of the equation. 6y2 + -6y2 = -2xX + -4xy + -3yX + -6y2 Combine like terms: 6y2 + -6y2 = 0 0 = -2xX + -4xy + -3yX + -6y2 Simplifying 0 = -2xX + -4xy + -3yX + -6y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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